What is the Least Common Multiple of 98550 and 98562?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 98550 and 98562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98550 and 98562, than apply into the LCM equation.

GCF(98550,98562) = 6
LCM(98550,98562) = ( 98550 × 98562) / 6
LCM(98550,98562) = 9713285100 / 6
LCM(98550,98562) = 1618880850

Least Common Multiple (LCM) of 98550 and 98562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98550 and 98562. First we will calculate the prime factors of 98550 and 98562.

Prime Factorization of 98550

Prime Factorization of 98562

Now multiplying the highest exponent prime factors to calculate the LCM of 98550 and 98562.

LCM(98550,98562) = 2¹ × 3³ × 5² × 73¹ × 16427¹
LCM(98550,98562) = 1618880850